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Finding the Fourth Proportional to 2,208.54, 3,047.83 and 1,264.41

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Solution

The fourth proportional to 2,208.54, 3,047.83 and 1,264.41 is: 1,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.54 : 3,047.83 = 1,264.41 : x
  2. Step 2: Convert to fraction form
    2,208.54/3,047.83 = 1,264.41/x
  3. Step 3: Cross multiply
    2,208.54x = 3,047.83 × 1,264.41
  4. Step 4: Simplify right side
    2,208.54x = 3,853,706.73
  5. Step 5: Solve for x
    x = 3,853,706.73/2,208.54
  6. Step 6: Final answer
    x = 1,744.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.